Mesoscopic and multiscale modelling in materials

Jacob Fish*, Gregory J. Wagner, Sinan Keten

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

155 Scopus citations


The concept of multiscale modelling has emerged over the last few decades to describe procedures that seek to simulate continuum-scale behaviour using information gleaned from computational models of finer scales in the system, rather than resorting to empirical constitutive models. A large number of such methods have been developed, taking a range of approaches to bridging across multiple length and time scales. Here we introduce some of the key concepts of multiscale modelling and present a sampling of methods from across several categories of models, including techniques developed in recent years that integrate new fields such as machine learning and material design.

Original languageEnglish (US)
Pages (from-to)774-786
Number of pages13
JournalNature materials
Issue number6
StatePublished - Jun 2021

ASJC Scopus subject areas

  • General Chemistry
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • General Materials Science


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